Considering a set \(\lbrace 1,...,q\rbrace \)  of different strategies, these fixation probabilities determine a transition matrix \(M = \lbrace T_{ij}\rbrace _{i,j = 1}^q\) , with \(T_{ij, j \ne i} = \rho _{ji}/(q-1)\)  and \(T_{ii} = 1 - \sum ^{q}_{j = 1, j \ne i} T_{ij}\) , of a Markov Chain. The normalized eigenvector associated with the eigenvalue 1 of the transposed of \(M\)  provides the stationary distribution described above [1]}, describing the relative time the population spends adopting each of the strategies.
